Respuesta :
Answer:
All possible outcomes when two thumbtacks are tossed are listed
{ UU ,UD,DU,DD} here U means the tip is up and D means the tip is down.
The probabilities of all these possible outcomes are
{ p(UU) ,p(UD),p(DU),p(DD)} are {1/25 , 4/25 ,4/25 , 16/25}
Step-by-step explanation:
The probability that it lands tip up is 20% P(U) = [tex]\frac{20}{100} = \frac{1}{5}[/tex]
The probability that it lands tip up is 80% P(D) = [tex]\frac{80}{100} =\frac{4}{5}[/tex]
All possible outcomes when two thumbtacks are tossed are listed
{ UU ,UD,DU,DD} here U means the tip is up and D means the tip is down.
- Probability of getting two lands tip up = P{ UU} = [tex]\frac{1}{5} X \frac{1}{5} = \frac{1}{25}[/tex]
- Probability of getting two lands tip down= P{ DD} = [tex]\frac{4}{5} X \frac{4}{5} = \frac{16}{25}[/tex]
- Probability of getting one tips up and one tips down P{UD} =[tex]\frac{1}{5} X \frac{4}{5} = \frac{4}{25}[/tex]
- Probability of getting one tips down and one tips up P{DU} =[tex]\frac{4}{5} X \frac{1}{5} = \frac{4}{25}[/tex]
note:- The sum of all probabilities is equal to one
that is = [tex]\frac{1}{25} +\frac{16}{25} +\frac{4}{25}+\frac{4}{25} =\frac{25}{25} =1[/tex]
